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sum(n=1)^oo sin^-1( (sqrt(n)-(sqrt(n-1))...

`sum_(n=1)^oo sin^-1( (sqrt(n)-(sqrt(n-1)))/(sqrt((n)(n+1)) )=` (A) `pi/4` (B) `pi/2` (C) `- pi/3` (D) `pi/3`

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